{
 "cells": [
  {
   "cell_type": "markdown",
   "id": "be5dc1fa-dff4-41d0-bfc8-107f8d394332",
   "metadata": {},
   "source": [
    "Chapter 32\n",
    "# 支持向量机，线性核\n",
    "Book_1《编程不难》 | 鸢尾花书：从加减乘除到机器学习  "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "f52fb61e-7b9e-40b4-9e23-b995682aa127",
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "import seaborn as sns\n",
    "from matplotlib.colors import ListedColormap\n",
    "from sklearn import neighbors, datasets"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "77da8cf1-85ff-4593-af2e-fc0af7c2c03d",
   "metadata": {},
   "outputs": [],
   "source": [
    "# 导入并整理数据\n",
    "iris = datasets.load_iris()\n",
    "X = iris.data[:, :2]\n",
    "y = iris.target"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "8ef728ca-d835-4d90-8397-a99027198f20",
   "metadata": {},
   "outputs": [],
   "source": [
    "# 生成网格化数据\n",
    "x1_array = np.linspace(4,8,101)\n",
    "x2_array = np.linspace(1,5,101)\n",
    "xx1, xx2 = np.meshgrid(x1_array,x2_array)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "579b8457-3d97-4a32-91ae-98f8d3b19ce5",
   "metadata": {},
   "outputs": [],
   "source": [
    "# 创建色谱\n",
    "rgb = [[255, 238, 255],  \n",
    "       [219, 238, 244],  \n",
    "       [228, 228, 228]]  \n",
    "rgb = np.array(rgb)/255.\n",
    "cmap_light = ListedColormap(rgb)\n",
    "cmap_bold = [[255, 51, 0], \n",
    "             [0, 153, 255],\n",
    "             [138,138,138]]\n",
    "cmap_bold = np.array(cmap_bold)/255."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "f1b7c324-6c21-458f-9849-996115d4a6b7",
   "metadata": {},
   "outputs": [],
   "source": [
    "q = np.c_[xx1.ravel(), xx2.ravel()]\n",
    "from sklearn import svm\n",
    "# 创建支持向量机 (线性核) 分类器对象\n",
    "SVM = svm.SVC(kernel='linear')\n",
    "# 用训练数据训练kNN\n",
    "SVM.fit(X, y)\n",
    "# 用支持向量机 (线性核) 分类器对一系列查询点进行预测\n",
    "y_predict = SVM.predict(q)\n",
    "y_predict = y_predict.reshape(xx1.shape)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "id": "052e741d-2da1-485e-a4f7-5755f1b87936",
   "metadata": {},
   "outputs": [
    {
     "data": {
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\n",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# 可视化\n",
    "fig, ax = plt.subplots()\n",
    "plt.contourf(xx1, xx2, y_predict, cmap=cmap_light)\n",
    "plt.contour(xx1, xx2, y_predict, levels=[0,1,2], \n",
    "            colors=np.array([0, 68, 138])/255.)\n",
    "sns.scatterplot(x=X[:, 0], y=X[:, 1], \n",
    "                hue=iris.target_names[y],\n",
    "                ax = ax,\n",
    "                palette=dict(setosa=cmap_bold[0,:],\n",
    "                versicolor=cmap_bold[1,:], \n",
    "                virginica=cmap_bold[2,:]),\n",
    "                alpha=1.0, \n",
    "                linewidth = 1, edgecolor=[1,1,1])\n",
    "plt.xlim(4, 8); plt.ylim(1, 5)\n",
    "plt.xlabel(iris.feature_names[0])\n",
    "plt.ylabel(iris.feature_names[1])\n",
    "ax.grid(linestyle='--', linewidth=0.25, \n",
    "        color=[0.5,0.5,0.5])\n",
    "ax.set_aspect('equal', adjustable='box')"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3 (ipykernel)",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.10.9"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}
